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Finding the Fourth Proportional to 176,288, 264,432 and 44,960

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Solution

The fourth proportional to 176,288, 264,432 and 44,960 is: 67,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,288 : 264,432 = 44,960 : x
  2. Step 2: Convert to fraction form
    176,288/264,432 = 44,960/x
  3. Step 3: Cross multiply
    176,288x = 264,432 × 44,960
  4. Step 4: Simplify right side
    176,288x = 11,888,862,720
  5. Step 5: Solve for x
    x = 11,888,862,720/176,288
  6. Step 6: Final answer
    x = 67,440

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.